Question: 2) Transfer function of a linear, time invariant causal system is given below: H(s) = 1 s-5s+K a) Draw the pole - zero diagram

2) Transfer function of a linear, time invariant causal system is given below: H(s) = 1 s-5s+K a) Draw the pole - zero diagram and define the Region of Convergence (ROC) for K-6 and K= -6 b) Calculate the impulse response h(t) of the system for both K = 6 and K= -6 c) Investigate whether the system is stable and FIR/IIR for both K values of 6 and -6. d) x(t) = 8(t) - 7 et u(t) is applied as the input to the system when K=-6. Find the output y(t) using Laplace transform.

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